7471538991840 has 768 divisors, whose sum is σ = 30019960406016. Its totient is φ = 1516814745600.

The previous prime is 7471538991821. The next prime is 7471538991869. The reversal of 7471538991840 is 481998351747.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1071799555 + ... + 1071806525.

It is an arithmetic number, because the mean of its divisors is an integer number (39088490112).

Almost surely, 2^{7471538991840} is an apocalyptic number.

7471538991840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7471538991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009980203008).

7471538991840 is an abundant number, since it is smaller than the sum of its proper divisors (22548421414176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7471538991840 is a wasteful number, since it uses less digits than its factorization.

7471538991840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 7471538991840 in words is "seven trillion, four hundred seventy-one billion, five hundred thirty-eight million, nine hundred ninety-one thousand, eight hundred forty".